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Finding the Fourth Proportional to 159,023.52, 238,527.72 and 46,699.20

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Solution

The fourth proportional to 159,023.52, 238,527.72 and 46,699.20 is: 70,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,023.52 : 238,527.72 = 46,699.20 : x
  2. Step 2: Convert to fraction form
    159,023.52/238,527.72 = 46,699.20/x
  3. Step 3: Cross multiply
    159,023.52x = 238,527.72 × 46,699.20
  4. Step 4: Simplify right side
    159,023.52x = 11,139,053,701.82
  5. Step 5: Solve for x
    x = 11,139,053,701.82/159,023.52
  6. Step 6: Final answer
    x = 70,046.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.